As shown the figure : there are two parallel lines and a transversal
Given the angles : ( x + 14 ) and (5x - 74)
The angles are congruent because they are a corresponding angles
So,
![5x-74=x+14](https://img.qammunity.org/2023/formulas/mathematics/high-school/h6qcvtbuiddqlgkv4qkj5puzzy0xbizzj0.png)
solve the equation to find x , combine the like terms
![\begin{gathered} 5x-74=x+14 \\ \\ 5x-x=14+74 \\ \\ 4x=88 \\ \\ x=(88)/(4)=22 \end{gathered}](https://img.qammunity.org/2023/formulas/mathematics/high-school/xalp75u5vlfejvfpu2p35zh9mwhlnvr3n1.png)
so, the answer is x = 22